On the bounds for the norms of r-circulant matrices with the Fibonacci and Lucas numbers

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摘要

In this paper, we have found upper and lower bounds for the spectral norms of r-circulant matrices in the forms A = Cr(F0, F1, …, Fn−1), B = Cr(L0, L1, …, Ln−1), and we have obtained some bounds for the spectral norms of Kronecker and Hadamard products of A and B matrices.

论文关键词:Fibonacci number,Lucas number,r-Circulant matrix,Norm

论文评审过程:Available online 2 April 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.03.140